# Show that the linearization of (3) at .0; 14/ is u0 D 4u, ## Problem 8 Chapter 6.3

Differential Equations and Boundary Value Problems: Computing and Modeling | 5th Edition

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Problem 8

Show that the linearization of (3) at .0; 14/ is u0 D 4u, v0 D 28u 42v. Then show that the coefficient matrix of this linear system has the positive eigenvalue 1 D 4 and the negative eigenvalue 2 D 42. Hence .0; 14/ is a saddle point for the system in (3). 9

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3.3 Chebyshev’s Rule and the Empirical Rule o Chebyshev’s rule o Empirical rule: For a symmetric (bell shaped) distribution Example : Birth weights of females in the United States (full-term) have a bell-shaped distribution with mean of 7.54 pounds and a standard deviation of 0.61 pounds. Use the empirical rule to answer the following: 68% of U.S. female birth weights...

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##### ISBN: 9780321796981

This textbook survival guide was created for the textbook: Differential Equations and Boundary Value Problems: Computing and Modeling, edition: 5. The full step-by-step solution to problem: 8 from chapter: 6.3 was answered by Patricia, our top Math solution expert on 01/04/18, 09:22PM. The answer to “Show that the linearization of (3) at .0; 14/ is u0 D 4u, v0 D 28u 42v. Then show that the coefficient matrix of this linear system has the positive eigenvalue 1 D 4 and the negative eigenvalue 2 D 42. Hence .0; 14/ is a saddle point for the system in (3). 9” is broken down into a number of easy to follow steps, and 54 words. This full solution covers the following key subjects: . This expansive textbook survival guide covers 58 chapters, and 2027 solutions. Differential Equations and Boundary Value Problems: Computing and Modeling was written by Patricia and is associated to the ISBN: 9780321796981. Since the solution to 8 from 6.3 chapter was answered, more than 221 students have viewed the full step-by-step answer.

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